Solve (5x+1)/(3)+1=(x-1)/(6) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 5x+1 }{ 3 } +1= \frac{ x-1 }{ 6 }$$

Solve for x

$x=-1$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,6$.

$$2\left(5x+1\right)+6=x-1$$

Use the distributive property to multiply $2$ by $5x+1$.

$$10x+2+6=x-1$$

Add $2$ and $6$ to get $8$.

$$10x+8=x-1$$

Subtract $x$ from both sides.

$$10x+8-x=-1$$

Combine $10x$ and $-x$ to get $9x$.

$$9x+8=-1$$

Subtract $8$ from both sides.

$$9x=-1-8$$

Subtract $8$ from $-1$ to get $-9$.

$$9x=-9$$

Divide both sides by $9$.

$$x=\frac{-9}{9}$$

Divide $-9$ by $9$ to get $-1$.

$$x=-1$$